18614421745920 has 5184 divisors, whose sum is σ = 94809363667200. Its totient is φ = 3304170455040.

The previous prime is 18614421745873. The next prime is 18614421745921. The reversal of 18614421745920 is 2954712441681.

18614421745920 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 4 + 42 + 1 + 7 + 4 + 592 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18614421745921) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 81285684366 + ... + 81285684594.

It is an arithmetic number, because the mean of its divisors is an integer number (18288843300).

Almost surely, 2^{18614421745920} is an apocalyptic number.

18614421745920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18614421745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47404681833600).

18614421745920 is an abundant number, since it is smaller than the sum of its proper divisors (76194941921280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18614421745920 is a wasteful number, since it uses less digits than its factorization.

18614421745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18614421745920 in words is "eighteen trillion, six hundred fourteen billion, four hundred twenty-one million, seven hundred forty-five thousand, nine hundred twenty".